Laws of large numbers for infinite means with mixing sequences | Zendy

Jian Han | Zendy; Xiaoqin Li | Zendy; Yudan Cheng | Zendy

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Laws of large numbers for infinite means with mixing sequences

Author(s) -

Jian Han,

Xiaoqin Li,

Yudan Cheng

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2103783h

Subject(s) - mathematics , law of large numbers , mixing (physics) , law , cauchy distribution , random variable , mathematical analysis , statistical physics , statistics , physics , quantum mechanics , political science

In this paper, we consider the laws of large numbers with infinite means based on ?-mixing sequences. An exact weak law and a strong law are obtained for ?-mixing asymmetrical Cauchy random variables. It is also presented that the weak law cannot extend to a strong law. In addition, some simulations are presented to illustrate our results of the laws of large numbers.

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